The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 X 1 1 1 1 1 0 1 1 1 1 1 0 X 1 0 1 X 1 1 X X X 1 1 1 0 1 0 1 X 0 1 X 0 0 1 1 1 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X X 1 1 1 0 X+1 X+1 X 0 1 X X+1 0 1 1 0 X 1 X X X 1 1 X 1 1 X+1 X 0 X+1 1 X 1 X 1 X X 0 1 0 1 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 1 1 X 1 X+1 X 1 X+1 1 0 0 1 X+1 X 0 1 X 1 1 X 1 0 1 1 0 X+1 X X+1 1 X 0 X+1 X 1 X+1 1 0 0 X+1 X+1 X 1
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 1 X 0 X 1 1 X+1 0 X X+1 1 X+1 X+1 X X X+1 0 X+1 X+1 1 0 0 1 1 0 0 X+1 0 X+1 X+1 X+1 X 1 X+1 1 1 0 X X+1 X+1 1 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X X+1 1 0 X+1 0 X+1 0 X+1 1 0 0 0 X X+1 X X+1 X 1 X 1 1 X+1 X X X+1 X+1 X X+1 0 0 1 X+1 1 X+1 0 1 0 X 0 0 X
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 X+1 0 X+1 0 1 0 X 1 X+1 X+1 1 X+1 X 1 1 1 1 X X+1 X 0 0 X 0 1 0 1 X 0 1 X 1 X+1 X+1 1 1 X+1 1 0 X+1 1 X
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 0 0 0 0 0 X X 0 X 0 X 0 X 0 X X 0 X 0 X 0 0 X X X 0 X X 0 X 0 0 0

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+55x^48+144x^49+249x^50+318x^51+315x^52+356x^53+422x^54+504x^55+492x^56+500x^57+503x^58+494x^59+546x^60+490x^61+502x^62+492x^63+443x^64+358x^65+278x^66+266x^67+164x^68+114x^69+86x^70+36x^71+29x^72+22x^73+6x^74+2x^75+3x^76+1x^78+1x^86

The gray image is a linear code over GF(2) with n=118, k=13 and d=48.
This code was found by Heurico 1.10 in 2.7 seconds.